Sources within the Catalan club have confirmed that Zinchenko has been proposed to them as an option.
As of today, no negotiations have started between the clubs. Barcelona would only consider a move for Zinchenko if Junior Firpo is sold.
Zinchenko, 23, is currently out of action with a muscle injury and has yet to play this season.
In the last campaign, Zinchenko made 25 appearances in all competitions for Pep Guardiola’s City.
The versatile Ukraine international renewed his contract with City last year until 2024.
City paid just €2m for Zinchenko in 2016, signing him as a 19-year-old from FC Ufa.
Following a loan spell at PSV Eindhoven, he made a surprise breakthrough and has since featured quite regularly under Guardiola.